1 citations · 2 across the 4 of their papers we have counts for
4 papers
MATLAB-Based Layerwise Self-Adaptive Physics-Informed Neural Network in Applications to Multidimensional Coupled Burgers' Equations with High Reynolds Numbers
Harish P. Bhatt, Xi Chen, Jingsai Liang
This paper presents an improved physics-informed neural network for simulating the spatio-temporal solution profile of the multidimensional coupled Burgers' equations with high Rey…
Efficiently and accurately simulating multi-dimensional M-coupled nonlinear Schrödinger equations with fourth-order time integrators and Fourier spectral method
Nate Lovett, Harish Bhatt
Coupled nonlinear Schrödinger equations model various physical phenomena, such as wave propagation in nonlinear optics, multi-component Bose-Einstein condensates, and shallow water…
Fast and accurate high-order method for high dimensional space-fractional reaction-diffusion equation with general boundary conditions
Almushaira Mustafa, Harish Bhatt
To achieve efficient and accurate long-time integration, we propose a fast, accurate, and stable high-order numerical method for solving fractional-in-space reaction-diffusion equa…
A compact fourth-order implicit-explicit Runge-Kutta type scheme for numerical solution of the Kuramoto-Sivashinsky equation
Harish Bhatt, Abhinandan Chowdhury
This manuscript introduces a fourth-order Runge-Kutta based implicit-explicit scheme in time along with compact fourth-order finite difference scheme in space for the solution of o…